Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*

Based on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum–classical dynamical systems by defining (outer) automorphisms of the $C^*$ algebra of hybrid operators and realizing them as linear transformations on the space of hybrid states. These hyb...

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Detalles Bibliográficos
Autores: Bouthelier-Madre, C., Clemente-Gallardo, J., González-Bravo, L., Martínez-Crespo, D.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Universidad de Zaragoza
Repositorio:Zaguán. Repositorio Digital de la Universidad de Zaragoza
OAI Identifier:oai:zaguan.unizar.es:128038
Acceso en línea:http://zaguan.unizar.es/record/128038
Access Level:acceso abierto
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spelling Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*Bouthelier-Madre, C.Clemente-Gallardo, J.González-Bravo, L.Martínez-Crespo, D.Based on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum–classical dynamical systems by defining (outer) automorphisms of the $C^*$ algebra of hybrid operators and realizing them as linear transformations on the space of hybrid states. These hybrid states are represented as density matrices on the Hilbert space obtained from the hybrid $C^*$–algebra by the GNS construction. We also classify all possible dynamical systems which are unitary and obtain the possible hybrid Hamiltonian operators.2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://zaguan.unizar.es/record/128038reponame:Zaguán. Repositorio Digital de la Universidad de Zaragozainstname:Universidad de ZaragozaInglésinfo:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020info:eu-repo/grantAgreement/ES/DGA/E48-23Rinfo:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018info:eu-repo/semantics/openAccessoai:zaguan.unizar.es:1280382026-05-29T13:59:51Z
dc.title.none.fl_str_mv Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
title Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
spellingShingle Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
Bouthelier-Madre, C.
title_short Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
title_full Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
title_fullStr Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
title_full_unstemmed Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
title_sort Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
dc.creator.none.fl_str_mv Bouthelier-Madre, C.
Clemente-Gallardo, J.
González-Bravo, L.
Martínez-Crespo, D.
author Bouthelier-Madre, C.
author_facet Bouthelier-Madre, C.
Clemente-Gallardo, J.
González-Bravo, L.
Martínez-Crespo, D.
author_role author
author2 Clemente-Gallardo, J.
González-Bravo, L.
Martínez-Crespo, D.
author2_role author
author
author
description Based on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum–classical dynamical systems by defining (outer) automorphisms of the $C^*$ algebra of hybrid operators and realizing them as linear transformations on the space of hybrid states. These hybrid states are represented as density matrices on the Hilbert space obtained from the hybrid $C^*$–algebra by the GNS construction. We also classify all possible dynamical systems which are unitary and obtain the possible hybrid Hamiltonian operators.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
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status_str acceptedVersion
dc.identifier.none.fl_str_mv http://zaguan.unizar.es/record/128038
url http://zaguan.unizar.es/record/128038
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00
info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020
info:eu-repo/grantAgreement/ES/DGA/E48-23R
info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv
publisher.none.fl_str_mv
dc.source.none.fl_str_mv reponame:Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname:Universidad de Zaragoza
instname_str Universidad de Zaragoza
reponame_str Zaguán. Repositorio Digital de la Universidad de Zaragoza
collection Zaguán. Repositorio Digital de la Universidad de Zaragoza
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